Abstract
The construction of fuzzy strict preference, indifference and incomparability relations from a fuzzy large preference relation is usually cast into an axiomatic framework based on t-norms. In this contribution, we show that this construction is essentially characterized by the choice of an indifference generator, a symmetrical mapping located between the L ukasiewicz t-norm and the minimum operator. Interesting constructions are obtained by choosing as indifference generator a commutative quasi-copula, an ordinal sum of Frank t-norms or a particular Frank t-norm.
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Fodor, J., Baets, B.d. (2008). Fuzzy Preference Modelling: Fundamentals and Recent Advances. In: Bustince, H., Herrera, F., Montero, J. (eds) Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Studies in Fuzziness and Soft Computing, vol 220. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73723-0_11
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DOI: https://doi.org/10.1007/978-3-540-73723-0_11
Publisher Name: Springer, Berlin, Heidelberg
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